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X-EEED, Allahabad NMD101
jHeâ keâeÙe& nsleg [1]
X-EEED, Allahabad NMD101
jHeâ keâeÙe& nsleg [2]
X-EEED, Allahabad NMD101
jHeâ keâeÙe& nsleg [3]
1. The number of zeroes at the end of the product of
1002015105 will be -
(A) 18 (B) 20
(C) 22 (D) 24
2. How many composite numbers up to 100 ?
(A) 25 (B) 74
(C) 75 (D) 76
3. Page number of a book starting with 1 and uses 3333 digits
in all. How many folio does the book have?
(A) 444 (B) 555
(C) 1110 (D) 1111
4. 1 liter of water weight 1 kilogram. How many cubic mili
meters of water will weight 0.1 gram?
(A) 0.1 (B) 1
(C) 10 (D) 100
5. If 10000037.07.3 yx , then what is the value of
?y
1
x
1
(A) 1 (B) 2
(C) 2
1 (D)
4
1
6. Find out the remainder when 505650 is divided by 11.
(A) 1 (B) 5
(C) 7 (D) 9
7. How many numbers from 0 to 999 which are neither
divided by 5 nor 9.
(A) 690 (B) 710
(C) 711 (D) 712
8. If third proportion of x & y is n times of mean proportion
then x : y is -
(A) 1:n 23
(B) 3
2n:1
(C) 1:n2 (D)
2n:1
9. Three vessels having volumes in the ratio of 1 : 2 : 3 are
full of a mixture of milk and water. In the first vessel, ratio
of milk and water is 2 : 3, in second 3 : 7 and in third 1 : 4.
If the liquid in all the three vessels were mixed, what is the
ratio of milk and water in new mixture?
(A) 4 : 11 (B) 5 : 7
(C) 7 : 11 (D) 7 : 5
10. Find out average of total factors of 216.
(A) 13.5 (B) 22.5
(C) 37.5 (D) none of these
11. If average of P and 1P is M, then what is the average of
3P and 3P ?
(A)
3
3MM 2 (B)
3M
(C) 3M3 (D) 3M4M 2
12. The total expenditure for a party consists of two parts. One
part remains constant and the second part depends on the
number of the guests. If the expenditure is `650 for 7
guests and ` 970 for 11 guests. Find the expenditure for 18
guests.
(A) ` 1530 (B) ` 1620
(C) ` 1800 (D) ` 2000
13. Average value of 1, 4, 16, 64, -----------------------x22 is-
(A) 1x3
14 1x
(B)
x3
14x
(C)
x3
14x (D)
1x3
14 1x
14. In a village consisting of P person, X% can read & write.
Of the males alone Y% , and of the females alone Z% can
read & write. Find the number of males in the village in
terms of P, X, Y and Z. (if Z<Y)
(A)
ZXY
ZYP
(B)
Z2XY
ZXP
(C) ZX
XYP
(D)
ZY
ZXP
15. If income tax increased by 18% then net income decreased
by 2%. Find out rate of income tax.
(A) 5% (B) 6%
(C) 8% (D) 10%
16. The marked price of an article is 2 times more than the cost
price. A discount given on the marked price of article is
4
3times less than marked price. In this kind of sale, the
seller will find-
(A) 75% profit (B) 125% profit
(C) 225% profit (D) none of these
X-EEED, Allahabad NMD101
jHeâ keâeÙe& nsleg [4]
1. 1002015105 kesâ nue ceW oeefnveer
Deesj MetvÙeeW keâer mebKÙee nesieer -
(A) 18 (B) 20
(C) 22 (D) 24
2. 100 lekeâ efkeâleveer YeepÙe mebKÙeeSBb nw?
(A) 25 (B) 74
(C) 75 (D) 76
3. Skeâ hegmlekeâ keâer he=‰ mebKÙee 1 mes Meg™ nesleer nw~ Fme hegmlekeâ keâer he=‰
mebKÙee efueKeves kesâ efueS kegâue 3333 Debkeâes keâe ØeÙeesie efkeâÙee ieÙee nw~
Fme hegmlekeâ ceW kegâue efkeâleves heVes nQ?
(A) 444 (B) 555
(C) 1110 (D) 1111
4. 1 ueeršj heeveer keâe Yeej 1 efkeâuees«eece nw, lees efkeâleves keäÙetefyekeâ efceueerceeršj
heeveer keâe Yeej 0.1 «eece nesiee?
(A) 0.1 (B) 1
(C) 10 (D) 100
5. Ùeefo 10000037.07.3 yx nes, lees
y
1
x
1 keâe ceeve keäÙee
nesiee?
(A) 1 (B) 2
(C) 2
1 (D)
4
1
6. 505650 keâes 11 mes Yeeie osves hej Mes<eHeâue %eele keâerefpeS~
(A) 1 (B) 5
(C) 7 (D) 9
7. 0 mes 999 lekeâ efkeâleveer mebKÙeeSb nQ pees vee lees 5 mes Deewj ve ner 9 mes
efJeYeepÙe nQ?
(A) 690 (B) 710
(C) 711 (D) 712
8. Ùeefo x Deewj y keâe le=leerÙeevegheele, ceOÙeevegheele keâe n iegvee nw, lees x : y nw-
(A) 1:n 23
(B) 32
n:1
(C) 1:n2 (D)
2n:1
9. leerve yele&veeW keâer OeeefjleeDeeW keâe Devegheele 1 : 2 : 3 nw, leerveeW yele&ve otOe leLee
heeveer kesâ efceßeCe mes Yejs nQ~ henues yele&ve ceW otOe Deewj heeveer keâe Devegheele 2
: 3 nw, otmejs ceW 3 : 7 leLee leermejs ceW 1 : 4 nw~ Ùeefo leerveeW yele&ve kesâ
efceßeCe keâes Deeheme ceW efceuee osb lees veÙes efceßeCe ceW otOe Deewj heeveer keâe
Devegheele keäÙee nesiee?
(A) 4 : 11 (B) 5 : 7
(C) 7 : 11 (D) 7 : 5
10. 216 kesâ meYeer DeheJele&keâesb keâe Deewmele %eele keâjW~
(A) 13.5 (B) 22.5
(C) 37.5 (D) FveceW mes keâesF& veneR
11. Ùeefo P leLee 1P keâe Deewmele M nw, lees
3P leLee 3P keâe Deewmele
keäÙee nesiee?
(A)
3
3MM 2 (B)
3M
(C) 3M3 (D) 3M4M 2
12. efkeâmeer heešea ceW nesves Jeeuee KeÛe& oes YeeieeW ceW nw~ Skeâ Yeeie keâe KeÛe& meowJe
efmLej jnlee nw, peyekeâer otmejs Yeeie keâe KeÛe& heešea ceW Deeves Jeeues meomÙeeW
keâer mebKÙee hej efveYe&j keâjlee nw~ Ùeefo heešea ceW 7 meomÙe nQ, lees heešea keâe
KeÛe& `650 nw Deewj Ùeefo heešea ceW 11 meomÙe nQ, lees heešea keâe KeÛe& `
970 nw~ Ùeefo heešea ceW 18 meomÙe nebs, lees heešea keâe KeÛe& nesiee -
(A) ` 1530 (B) ` 1620
(C) ` 1800 (D) ` 2000
13. 1, 4, 16, 64, -----------------------x22 keâe Deewmele ceeve nw-
(A) 1x3
14 1x
(B)
x3
14x
(C)
x3
14x (D)
1x3
14 1x
14. Skeâ iee@@Je keâer pevemebKÙee P nw, efpemeceW mes X% heÌ{-efueKe mekeâles nQ~
heg™<eeW keâer mebKÙee keâe kesâJeue Y% heÌ{ efueKe mekeâles nQ, peyeefkeâ ceefnueeDeeW
keâer mebKÙee keâe kesâJeue Z% heÌ{-efueKe mekeâlee nw, lees ieeBJe ceW heg™<eeW keâer
mebKÙee P, X, Y Deewj Z kesâ heoeW ceW %eele keâjW ~ (Ùeefo Z<Y)
(A)
ZXY
ZYP
(B)
Z2XY
ZXP
(C) ZX
XYP
(D)
ZY
ZXP
15. Ùeefo DeeÙekeâj 18% yeÌ{ peeS, lees vesš DeeÙe 2% keâce nes peeleer nw~
DeeÙekeâj keâer oj-ØeefleMele %eele keâerefpeS~
(A) 5% (B) 6%
(C) 8% (D) 10%
16. Skeâ Jemleg keâe Debefkeâle cetuÙe Gmekesâ ›eâÙe cetuÙe mes oes iegvee DeefOekeâ nw~ Gme
Jemleg hej efoÙee ieÙee yeóe Gmekesâ Debefkeâle cetuÙe mes
4
3 iegvee keâce nw, lees
Fme efJe›eâer hej efJe›esâlee keâes nesiee -
(A) 75% ueeYe (B) 125% ueeYe
(C) 225% ueeYe (D) FveceW mes keâesF& veneR
X-EEED, Allahabad NMD101
jHeâ keâeÙe& nsleg [5]
17. A and B can do a piece of work in 12 days, B & C can do
it in 16 days. A worked at it for 3 days and B for 5 days
after that the remaining work was done by C alone in 17
days. Then find out, how much days shall B take to
complete the work alone?
(A) 24 days (B) 48 days
(C) 60 days (D) 72 days
18. Excluding stoppages the average speed of a bus is 60
km./hour and including stoppages, it is 42 km./hour. For
how many minutes does the bus stop per hour?
(A) 12 minute (B) 15 minute
(C) 18 minute (D) 20 minute
19. Two persons Rajeev and Sanjeev are walking around a
circular track of length 1800 meter at speed of 40
meter/minute and 50 meter/minute respectively. Both of
them start in the same direction and at the same time but B
reverses his direction every time he completes one full
round what is the time taken by them from the start to meet
for the first time?
(A) 36 minute (B) 40 minute
(C) 45 minute (D) 56 minute
20. A daily-wage labourer was engaged for a certain number
of days for ` 5750, but being absent on some of those days
he was paid only ` 5000, what was his maximum possible
daily-wage ?
(A) ` 125 (B) ` 250
(C) ` 375 (D) ` 500
21. A cat takes 5 leaps for every 4 leaps of a dag, but 3 leaps
of the dog are equal to 4 leaps of the cat. what is the ratio
of the speed of the cat to that of the dog?
(A) 11 : 15 (B) 15 : 11
(C) 16 : 15 (D) 15 : 16
22. P, Q, R and S are four distinct positive integers 1 P is
factor of R and Q is factor of S. What is H.C.F. and L.C.M.
of Q
P and
S
R
?
(A) Q
P,
S
R (B)
S
P,
Q
R
(C) R
P,
S
Q (D)
Q
R,
S
P
23. A salesman allowed %2
15 discount on the total sales
made by him plus a bonus of %2
1
on sale over ` 10000. If
his total earnings were ` 1990 his total sales in rupees
was?
(A) ` 30000 (B) ` 32000
(C) ` 34000 (D) ` 35000
24. How many distinct prime factors does
77553322 7532 .
(A) 77553322
(B) 77553322
(C) 177155133122
(D) none of these
25. A car travells from A to B at V1 km./hour travels back
from B to A at V2 km./hour and again goes back from A to
B at V2 km./hour the average speed of the car is-
(A) 21
21
V2V
VV2
km./hour
(B) 12
21
V2V
VV2
km./hour
(C) 12
21
V2V
VV3
km./hour
(D) 21
21
V2V
VV3
km./hour
26. A tank has a leak which would empty the completely filled
tank in 10 hours. If the tank is full of water and a tap is
opened which admits 4
1liter of water per second in the
tank, the leak takes 15 hours to empty the tank. How many
liter of water does the tank hold?
(A) 24000 liters (B) 45000 liters
(C) 27000 liters (D) 72000 liters
27. Carpenter A take 6 hours to make a chair, carpenter B take
7 hours to make a chair & carpenter C take 8 hours to
make a chairs if everyone does work 8 hours per day then
how many chairs they will make in 21 days?
(A) 61 (B) 67
(C) 73 (D) 79
28. A cube of edge Y is converted to a cuboid in such a way
that there concurrent edges are in the ratio 1 : 2 : 4 and the
shorter edge is X. What is the ratio of surface area of the
cuboid to that of the cube?
(A) 6
7 (B)
12
7
(C) 10
11 (D)
11
10
29. There are some benches in a classroom. If 8 students sit on
each bench, then 2 benches are left unoccupied. However
if 6 students sit on each bench, 18 students are left
standing. How many students are there in the class?
(A) 72 (B) 120
(C) 180 (D) none of these
X-EEED, Allahabad NMD101
jHeâ keâeÙe& nsleg [6]
17. A Deewj B efceuekeâj Skeâ keâece 12 efove ceW keâj mekeâles nw, B Deewj C
efceuekeâj Gmeer keâece keâes 16 efove ceW keâj mekeâles nw~ A Éeje Gme hej 3
efove leLee B Éeje Gme hej 5 efove keâece keâjves kesâ yeeo C vess Mes<e keâece keâes
17 efove ceW hetje keâj efoÙee lees yeleeFS B Dekesâuee Gme keâece keâes efkeâleves
efove ceW hetje keâj mekeâlee nw?
(A) 24 efove (B) 48 efove
(C) 60 efove (D) 72 efove
18. Skeâ yeme peye efkeâmeer otjer keâes efyevee ®kesâ leÙe keâjleer nw, lees Gmekeâer Deewmele
Ûeeue 60 efkeâceer0/IeCše nesleer nw, uesefkeâve peye yeme ®keâleer ngF& peeleer nw,
lees Gmekeâer Deewmele Ûeeue 42 efkeâceer0/IeCše nesleer nw~ yeme Øeefle IeCše
efkeâleves efceveš kesâ efueS ®keâleer nw?
(A) 12 efceveš (B) 15 efceveš
(C) 18 efceveš (D) 20 efceveš
19. jepeerJe Deewj mebpeerJe 1800 ceeršj uecyes Je=òeekeâej ceeie& hej ›eâceMe: 40
ceeršj/efceveš leLee 50 ceeršj/efceveš keâer Ûeeue mes Ûeueles nbw~ Jes oesveeW Skeâ
ner efyevog mes Skeâ ner efoMee ceW Skeâ ner meceÙe hej Ûeuevee ØeejcYe keâjles nQ~
uesefkeâve mebpeerJe ØelÙeskeâ Ûekeäkeâj kesâ yeeo Deheveer efoMee keâes yeoue oslee nw~
lees efkeâleves meceÙe yeeo Jes oesveeW Skeâ otmejs mes henueer yeej efceueWies?
(A) 36 efceveš (B) 40 efceveš
(C) 45 efceveš (D) 56 efceveš
20. efkeâmeer owefvekeâ Jesleve Yeesieer cepeotj keâes kegâÚ efveef§ele efoveeW kesâ efueS ` 5750
efoÙee peelee nw, efkeâvleg Jen Fve efveef§ele efoveeW ceW ner kegâÚ efove DevegheefmLele
Lee Dele: Gmes cee$e ` 5000 ner efoÙee ieÙee Gme JÙeefòeâ keâe DeefOekeâlece
owefvekeâ Jesleve efkeâlevee Lee?
(A) ` 125 (B) ` 250
(C) ` 375 (D) ` 500
21. efpeleves meceÙe ceW Skeâ efyeuueer 5 Úueebie ueieeleer nw Gleves meceÙe ceW Skeâ
kegâòee 4 Úueebie ueieelee nw, efkeâvleg kegâòes keâer 3 Úueebie, efyeuueer kesâ 4
Úueebie kesâ yejeyej nw, lees efyeuueer leLee kegâòes keâer Ûeeue keâe Devegheele keäÙee
nw?
(A) 11 : 15 (B) 15 : 11
(C) 16 : 15 (D) 15 : 16
22. P, Q, R leLee S Ûeej Deueie Deueie Oeveelcekeâ hetCeeËkeâ 1 nQ~ R
keâe iegCeveKeC[ P leLee S keâe iegCeveKeC[ Q nw, lees
Q
P Deewj
S
Rkeâe
ce0me0 leLee ue0me0 keäÙee nesiee?
(A) Q
P,
S
R (B)
S
P,
Q
R
(C) R
P,
S
Q (D)
Q
R,
S
P
23. efkeâmeer mesume cewve keâes kegâue efJe›eâer hej %2
15 keâer Útš oer peeleer nw Fmekesâ
DeueeJee ` 10000 mes DeefOekeâ keâer efJe›eâer hej %2
1 keâe Deefleefjòeâ yeesveme
Yeer efoÙee peelee nw~ Ùeefo mesumecewve keâes kegâue efJe›eâer hej ` 1990 keâe ueeYe
ngDee nes, lees kegâue efkeâleves ™heÙes keâer efJe›eâer ngF&?
(A) ` 30000 (B) ` 32000
(C) ` 34000 (D) ` 35000
24. 77553322 7532 kesâ kegâue efkeâleves efYevve-efYevve DeYeepÙe
iegCeveKeC[ neWies -
(A) 77553322 (B) 77553322
(C) 177155133122
(D) FveceW mes keâesF& veneR
25. Skeâ keâej A mes B lekeâ V1 efkeâueesceeršj Øeefle IeCše keâer Ûeeue mes peeleer nw
leLee B mes A lekeâ Jeeheme V2 efkeâueesceeršj Øeefle IeCše keâer Ûeeue mes Deeleer nw
hegve: A mes B lekeâ V2 efkeâueesceeršj Øeefle IeCše keâer Ûeeue mes peeleer nw, lees
keâej keâer Deewmele Ûeeue nw-
(A) 21
21
V2V
VV2
efkeâceer0/IeCše (B)
12
21
V2V
VV2
efkeâceer0/IeCše
(C) 12
21
V2V
VV3
efkeâceer0/IeCše (D)
21
21
V2V
VV3
efkeâceer0/IeCše
26. Skeâ šbkeâer keâer leueer ceW Skeâ Úso nw, efpemekesâ keâejCe heeveer mes hetjer Yejer
šbkeâer 10 IeCšs ceW Keeueer nes peeleer nw~ Ùeefo šbkeâer heeveer mes hetjer Yejer nes
meeLe ner
4
1 ueeršj Øeefle meskesâC[ keâer jHeäleej mes šbkeâer ceW Yejves Jeeuee Skeâ
veue Yeer Ûeeuet keâj efoÙee peeÙe lees Úso Éeje šbkeâer keâes Keeueer keâjves ceW 15
IeCšs keâe meceÙe ueielee nw šbkeâer ceW efkeâleves ueeršj heeveer Yeje pee mekeâlee
nw?
(A) 24000 ueeršj (B) 45000 ueeršj
(C) 27000 ueeršj (D) 72000 ueeršj
27. yeÌ{F& A Skeâ kegâmeea 6 IeCšs ceW, yeÌ{F& B Skeâ kegâmeea 7 IeCšs ceW Deewj
yeÌ{F& C Skeâ kegâmeea 8 IeCšW ceW yeveelee nw~ Ùeefo ØelÙeskeâ yeÌ{F& Øeefleefove 8
IeCšs keâece keâjW lees 21 efove ceW efkeâleveer kegâefme&ÙeeB yeveWieer?
(A) 61 (B) 67
(C) 73 (D) 79
28. Y keâesj Jeeues efkeâmeer Ieve keâes IeveeYe ceW Fme Øekeâej yeoue efoÙee peelee nw
efkeâ IeveeYe kesâ keâesjeW keâer uecyeeF& keâe Devegheele 1 : 2 : 4 nw Deewj meyemes
Úesšs keâesj keâer uecyeeF& X nw lees IeveeYe SJeb Ieve kesâ he=‰rÙe #es$eheâue keâe
Devegheele keäÙee nesiee?
(A) 6
7 (B)
12
7
(C) 10
11 (D)
11
10
29. Skeâ keâ#ee ceW efveef§ele mebKÙee ceW yeWÛe nbw~ Ùeefo ØelÙeskeâ yeWÛe hej 8 efJeÅeeLeea
yew"les nw lees 2 yeWÛe Keeueer jn peeleer nw Deewj Ùeefo ØelÙeskeâ yeWÛe hej 6
efJeÅeeLeea yew"les nwb lees 18 efJeÅeeLeea KeÌ[s jn peeles nwb~ keâ#ee ceW kegâue efkeâleves
efJeÅeeLeea nQ?
(A) 72 (B) 120
(C) 180 (D) FveceW mes keâesF& veneR
X-EEED, Allahabad NMD101
jHeâ keâeÙe& nsleg [7]
30. A part of `38800 is lent out at 6% per six months. The rest
of the amount is lent out at 5% per annual after one year.
The ratio of interest after three years from the time when
first amount was lent out is 5 : 4. Find the second part that
was lent out at 5%.
(A) ` 26600 (B) ` 28800
(C) ` 27500 (D) ` 28000
31. If P be the principal amount and the rate of compound
interest be R% per annual and the compound interest is
calculated K times in a year, then what is the compound
interest at the end of N years?
(A) 1K100
R1P
NK
(B) 1
100
RK1P
NK
(C)
1
K100
R1P
NK
(D)
1
100
RK1P
K
N
32. In a stream, B lies in between A and C such that it is
equidistant from both A and C. A boat can go from A to B
and Back in 6 hours 30 minute while it goes from A to C in
9 hours. How long would it take to go from C to A?
(A) 3.75 hours (B) 4 hours
(C) 4.25 hour (D) 4.5 hours
33. Which of the following must be true?
(A) If x varies directly with y , then 2x varies directly
with y.
(B) If x varies inversely with y , then y varies
inversely with x .
(C) both (A) and (B)
(D) neither (A) nor (B)
34. A square of side x is taken. A rectangle is cut out from this
square such that one side of the rectangle is half that of the
square and the other is 3
1
the first side of the rectangle.
What is the area of the remaining portion of square?
(A) 2x
4
3
(B)
2x8
7
(C) 2x
12
11
(D)
2x16
15
35. Seven semi-circular areas are removed from the rectangle
ABCD as shown in the figure, in which AB=2 cm., AD =
0.5 cm., The radius of each semi-circle r, s, t, u, v is half of
that of semi-circle p or q. What is the area of the remaining
portion?
(A) 2cm12813128 (B) 2cm12513125
(C) 2cm12815128 (D) none of these
36. If
th
4
12
13
11
54
part of a journey takes 10 minutes,
then to complete
th
5
3of that journey it will take-
(A) 40 minutes (B) 45 minutes
(C) 48 minutes (D) 36 minutes
37. 8 litres are drawn from a cask full of wine and then is filled
with 8 litres water. This operation is performed three more
times. The ratio of the quantity of wine now left in cask to
that of the water is 16 : 65. How much wine did the cask
originally hold?
(A) 30 litres (B) 26 litres
(C) 24 litres (D) 32 litres
38. Water flows through a cylindrical pipe of diameter 5 mm
at the rate of 10 meter per minute and falls into a conical
vessel having 40 cm as the diameter of its base and 24 cm
as its height. How long will it take to fill the vessel?
(A) 48 minute 15 second (B) 51 minute 12 second
(C) 52 minute 1 second (D) 55 minute
39. Two circles with centre A and B and radius 2 units touch
each other externally at C. Third circle with centre C and
radius 2 units, cut other two at D and E respectively . Then
the area of the quadrilateral ABED is -
(A) units.sq22 (B) units.sq33
(C) units.sq23 (D) units.sq32
X-EEED, Allahabad NMD101
jHeâ keâeÙe& nsleg [8]
30. ` 38800 kesâ ØeLece Yeeie keâes 6% Ú:ceener keâer meeOeejCe yÙeepe keâer oj
hej GOeej efoÙee ieÙee SJeb otmejs Yeeie keâes Skeâ Je<e& yeeo 5% Jeeef<e&keâ
meeOeejCe yÙeepe hej GOeej efoÙee peelee nw~ peye henues Yeeie keâes GOeej efoÙee
ieÙee Lee leye mes leerve Je<e& yeeo oesveeW kesâ meeOeejCe yÙeepe keâe Devegheele 5 :
4 nw, lees yeleeFS 5% keâer oj hej efkeâlevee Oeve efoÙee ieÙee Lee?
(A) ` 26600 (B) ` 28800
(C) ` 27500 (D) ` 28000
31. Ùeefo P cetueOeve nw leLee Ûe›eâJe=efæ yÙeepe keâer oj R% Jeeef<e&keâ nw Deewj
Ûe›eâJe=efæ yÙeepe Skeâ Je<e& ceW K yeej peesÌ[e peelee nw~ lees N Je<eeX keâe yÙeepe
nesiee-
(A) 1K100
R1P
NK
(B) 1
100
RK1P
NK
(C)
1
K100
R1P
NK
(D)
1
100
RK1P
K
N
32. Skeâ Oeeje ceW B, A leLee C kesâ yeerÛe Fme Øekeâej nw efkeâ Jen A leLee C mes
yejeyej otjer hej nw~ Skeâ veeJe A mes B lekeâ leLee Jeeheme B mes A lekeâ
keâer otjer kegâue 6 IeCšs 30 efceveš ceW leÙe keâjleer nw, peyeefkeâ Jen A mes C
lekeâ keâer otjer 9 IeCšs ceW leÙe keâjleer nw, leye C mes A lekeâ keâer otjer leÙe
keâjves ceW Gmes efkeâlevee meceÙe ueiesiee~
(A) 3.75 IeCšs (B) 4 IeCšs
(C) 4.25 IeCšs (D) 4.5 IeCšs
33. efvecveefueefKele ceW mes keâewve-mee efveef§ele ™he mes melÙe nw?
(A) Ùeefo x, y kesâ Deveg›eâceevegheeleer nw, lees
2x , y kesâ Deveg›eâceevegheeleer
nesiee~
(B) Ùeefo x , y kesâ JÙegl›eâceevegheeleer nw, lees y , x kesâ
JÙegl›eâceevegheeleer nesiee~
(C) (A) Deewj (B) oesveeW melÙe nw~
(D) ve lees (A) Deewj ve ner (B) melÙe nw~
34. x Yegpee Jeeues Jeie& mes Skeâ DeeÙele Fme Øekeâej keâeše peelee nw efkeâ DeeÙele
keâer Skeâ Yegpee, Jeie& keâer Yegpee keâer DeeOeer nw SJeb otmejer Yegpee henueer Yegpee
keâer
3
1 nw~ Jeie& kesâ Mes<e Yeeie keâe #es$eHeâue efkeâlevee nw?
(A) 2x
4
3
(B)
2x8
7
(C) 2x
12
11
(D)
2x16
15
35. DeeÙele ABCD mes meele Deæ&Je=òeekeâej Yeeie keâešs ieS nQ pewmes efÛe$e ceW
efoKeeÙee ieÙee nw~ AB = 2 mesceer0 Deewj AD = 0.5 mesceer0 ØelÙeskeâ
Deæ&Je=òe r, s, t, u Deewj v keâer ef$epÙee p Deewj q mes DeeOeer nw yeÛes ngS
efnmmes keâe #es$eHeâue %eele keâjes?
(A) 12813128 Jeie& mesceer0
(B) 12513125 Jeie& mesceer0
(C) 12815128 Jeie& mesceer0
(D) FveceW mes keâesF& veneR
36. Ùeefo Skeâ Ùee$ee keâe
4
12
13
11
54 JeW Yeeie leÙe keâjves ceW ome
efceveš ueielee nw, lees Gmeer Ùee$ee keâe
5
3 JeW Yeeie keâes leÙe keâjves ceW efkeâlevee
meceÙe ueiesiee?
(A) 40 efceveš (B) 45 efceveš
(C) 48 efceveš (D) 36 efceveš
37. Skeâ keâvemlej Mejeye mes Yeje Lee, FmeceW mes 8 ueeršj Mejeye efvekeâeuekeâj
Keeueer yeÛes Yeeie ceW 8 ueeršj heeveer Yej efoÙee ieÙee~ Ùen Øeef›eâÙee leerve yeej
Deewj oesnjeF& ieF&~ Devle ceW Øeehle Ieesue ceW Mejeye leLee heeveer keâe Devegheele
16 : 65 jn ieÙee~ ØeejcYe cesb keâvemlej ceW efkeâleveer Mejeye Leer~
(A) 30 ueeršj (B) 26 ueeršj
(C) 24 ueeršj (D) 32 ueeršj
38. 5 efceceer. JÙeeme kesâ Skeâ yesueveekeâej heeFhe Éeje heeveer 10 ceeršj Øeefle efceveš
keâer ieefle mes yenkeâj Skeâ MebkeäJeekeâej yele&ve ceW efiejlee nw, efpemekesâ DeeOeej keâe
JÙeeme 40 mesceer. leLee TBÛeeF& 24 mesceer. nw~ efkeâleveer osj ceW Ùen yele&ve heeveer
mes Yej peeÙesiee?
(A) 48 efceveš 15 meskesâC[ (B) 51 efceveš 12 meskesâC[
(C) 52 efceveš 1 meskesâC[ (D) 55 efceveš
39. 2 FkeâeF& ef$epÙee Jeeues oes Je=òeeW keâe kesâvõ A leLee B nw leLee Jes efyebog C
hej yee¢e mheMe& keâjles nQ~ Skeâ C kesâvõ leLee 2 Ùetefveš ef$epÙee Jeeuee leermeje
Je=òe oesveeW Je=òeeW keâes ›eâceMe: efyevog D leLee E hej keâešlee nw~ ÛelegYeg&pe
ABED keâe #es$eHeâue %eele keâjW?
(A) 22 Jeie& FkeâeF& (B) 33 Jeie& FkeâeF&
(C) 23 Jeie& FkeâeF& (D) 32 Jeie& FkeâeF&
X-EEED, Allahabad NMD101
jHeâ keâeÙe& nsleg [9]
40. A right circular cylinder is partially filled with water. Two
iron spherical balls are completely immersed in the water
so that the height of the water in the cylinder rises by 4 cm.
If the radius of one ball is half of the other and the
diameter of the cylinder is 18 cm. then the radii of the
spherical balls are -
(A) 6 cm. and 12 cm. (B) 4 cm. and 8 cm.
(C) 3 cm. and 6 cm. (D) 2 cm. and 4 cm.
41. Three partners invested `42000, `48000 and `32000
respectively. Partnership condition is that, each will the get
interest on his capital at the rate of 7% per annum and the
remaining profit will be divided in the ratio of their
capitals. If at the end of the year the total profit is `32940.
Then find the share of A in profit?
(A) ` 12960 (B) ` 11340
(C) ` 8640 (D) none of these
42. How many pair of positive integers whose difference of
square is 45.
(A) 3 (B) 4
(C) 5 (D) none of these
43. For the integer n if 4n is odd, then which of the following
statement are true?
(I) n+n2 is odd
(II) n+n3 is even
(III) n3+n
2 is even
(A) only I & II (B) only II
(C) only I & III (D) only II & III
44. What is the value of 3
1
113 1y11
?
(A) y (B) y
(C) y
1 (D)
y
1
45. A car travelling with 7
5of its usual speed covers 42 Km.
in 1 hour 40 minute 48 second. What is the usual speed of
the car?
(A) 7
617 km./hour (B) 35 km./hour
(C) 25 km./hour (D) 30 km./hour
46. Find the value of
4
44
44
44
4
(A) 2 (B) 4
(C) 8 (D)
47. Arrange the following in ascending order.
333333333 333S,3R,33Q,3P
(A) PQRS (B) PRQS
(C) QRPS (D) SQPR
48. The difference between the compound and the simple
interest on a sum of 2 years at 10% per annum, when the
interest is compounded annually is ` 28. If the yearly
interest were compounded half-yearly, the difference in the
two interest will be ?
(A) ` 44 (B) ` 28.35
(C) ` 43.41 (D) ` 43.29
49. The population of a city is 200000. If the annual birth rate
and the annual death rate are 6% and 3% respectively, then
calculate the population of the city after 2 years.
(A) 212090 (B) 206090
(C) 212000 (D) 212180
50. A square and rhombus are on the same base. The ratio of
area will be-
(A) equal to 1 (B) less than 1
(C) more than 1 (D) can not find
X-EEED, Allahabad NMD101
jHeâ keâeÙe& nsleg [10]
40. Skeâ uecye Je=òeerÙe yesueve DeebefMekeâ ™he mes heeveer mes Yeje nw~ ueesns keâer oes
ieesuekeâ yee@ue hetjer lejn mes heeveer ceW [tyeer ngF& nwb~ efpememes yesueve ceW heeveer
keâer TBÛeeF& 4 mesceer0 yeÌ{ peeleer nw~ Ùeefo Skeâ ieesuekeâ yee@ue keâer ef$epÙee
otmejer keâer DeeOeer nes Deewj yesueve keâe JÙeeme 18 mesceer0 nes, lees ieesuekeâeW keâer
ef$epÙee yeleeFS?
(A) 6 mesceer0 Deewj 12 mesceer0 (B) 4 mesceer0 Deewj 8 mesceer0
(C) 3 mesceer0 Deewj 6 mesceer0 (D) 2 mesceer0 Deewj 4 mesceer0
41. efkeâmeer JÙeeheej ceW leerve meePesoej A, B leLee C ›eâceMe: `42000,
`48000 leLee `32000 efveJesMe keâjles nQ~ meePesoejer keâer Mele& Ùen nw efkeâ
ØelÙeskeâ Deheveer hetBpeer hej 7% Jeeef<e&keâ oj mes yÙeepe uesiee pees ueeYe ceW mes
ner efoÙee peeSiee leLee Mes<e ueeYe, Jes efveJesefMele hetBpeer kesâ Devegheele ceW
yeeBšsieW~ Ùeefo Skeâ Je<e& kesâ Devle ceW kegâue `32940 keâe ueeYe ngDee nes, lees
GmeceW mes A keâe efnmmee keäÙee nesiee?
(A) ` 12960 (B) ` 11340
(C) ` 8640 (D) FveceW mes keâesF& veneR
42. Oeve hetCeeËkeâeWb kesâ ÙegiceeW keâer mebKÙee efpevekesâ JeieeX keâe Devlej 45 nw~
(A) 3 (B) 4
(C) 5 (D) FveceW mes keâesF& veneR~
43. efkeâmeer hetCeeËkeâ n kesâ efueS, Ùeefo n4 efJe<ece nw lees keâewve-mee keâLeve melÙe
nw?
(I) n+n2 efJe<ece nw~
(II) n+n3 mece nw~
(III) n3+n
2 mece nw~
(A) kesâJeue I Deewj II (B) kesâJeue II
(C) kesâJeue I Deewj III (D) kesâJeue II Deewj III
44. 3
1
113 1y11
keâe ceeve nw
(A) y (B) y
(C) y
1 (D)
y
1
45. Skeâ keâej Deheveer meeceevÙe Ûeeue kesâ
7
5 Yeeie mes Ûeueles ngS 42
efkeâueesceeršj keâer otjer leÙe keâjves ceW 1 IeCše 40 efceveš 48 meskesâC[ keâe
meceÙe uesleer nw~ keâej keâer meeceevÙe Ûeeue yeeleeFS?
(A) 7
617 efkeâueesceeršj /IeCše (B) 35 efkeâueesceeršj /IeCše
(C) 25 efkeâueesceeršj /IeCše (D) 30 efkeâueesceeršj /IeCše
46.
4
44
44
44
4 keâe ceeve nesiee -
(A) 2 (B) 4
(C) 8 (D)
47. efvecve keâes Deejesner ›eâce ceW JÙeJeefmLele keâerefpeS~
333333333 333S,3R,33Q,3P
(A) PQRS (B) PRQS
(C) QRPS (D) SQPR
48. Ùeefo yÙeepe Jeeef<e&keâ mebÙeesefpele nes, lees efkeâmeer OevejeefMe hej 10 ØeefleMele
Jeeef<e&keâ oj mes 2 Je<eeX keâe Ûe›eâJe=efæ yÙeepe leLee meeOeejCe yÙeepe keâe Devlej
` 28 nw~ Ùeefo Jeeef<e&keâ yÙeepe oj Ú:ceener nes, lees oesveeW lejn kesâ yÙeepeeW ceW
efkeâlevee Devlej nesiee?
(A) ` 44 (B) ` 28.35
(C) ` 43.41 (D) ` 43.29
49. efkeâmeer Menj keâer pevemebKÙee 200000 nw ~ Ùeefo Jeeef<e&keâ pevce oj SJeb
ce=lÙeg oj ›eâceMe: 6% SJeb 3% nes, leye 2 Je<e& yeeo Menj keâer pevemebKÙee
keâer ieCevee keâerefpeS~
(A) 212090 (B) 206090
(C) 212000 (D) 212180
50. Skeâ Jeie& Deewj Skeâ meceÛelegYeg&pe Skeâ ner DeeOeej hej yeves nQ~ Fvekesâ
#es$eHeâue keâe Devegheele nesiee -
(A) 1 kesâ yejeyej (B) 1 mes keâce
(C) 1 mes DeefOekeâ (D) %eele veneR efkeâÙee pee mekeâlee~
X-EEED, Allahabad NMD101
jHeâ keâeÙe& nsleg [11]
X-EEED, Allahabad NMD101
jHeâ keâeÙe& nsleg [10]